On-line stream merging in a general setting

  • Authors:
  • Wun-Tat Chan;Tak-Wah Lam;Hing-Fung Ting;Prudence W. H. Wong

  • Affiliations:
  • Department of Computer Science, University of Hong Kong, Pokfulam Road, Hong Kong, China;Department of Computer Science, University of Hong Kong, Pokfulam Road, Hong Kong, China;Department of Computer Science, University of Hong Kong, Pokfulam Road, Hong Kong, China;Department of Computer Science, University of Hong Kong, Pokfulam Road, Hong Kong, China

  • Venue:
  • Theoretical Computer Science - Computing and combinatorics
  • Year:
  • 2003

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Abstract

This paper is concerned with on-line scheduling algorithms for merging streams in a video-on-demand system so as to minimize the server bandwidth. We present the first algorithm that has a constant competitive factor (precisely, 5). Our algorithm, unlike previous ones, is not limited to the scenario where clients are equipped with large buffer and client receiving bandwidth. It remains 5-competitive in all settings of buffer size and receiving bandwidth. Technically speaking, our algorithm is based on a novel observation that the behavior of any schedule can be modeled by a rectilinear (binary) tree on a grid. This observation eases the analysis of our algorithm as well as the optimal algorithm.